321042400 has 72 divisors (see below), whose sum is σ = 895723920. Its totient is φ = 110069760.

The previous prime is 321042389. The next prime is 321042401. The reversal of 321042400 is 4240123.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23065 + ... + 34264.

It is an arithmetic number, because the mean of its divisors is an integer number (12440610).

Almost surely, 2^321042400 is an apocalyptic number.

It is an amenable number.

321042400 is an abundant number, since it is smaller than the sum of its proper divisors (574681520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321042400 is a wasteful number, since it uses less digits than its factorization.

321042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57356 (or 57343 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 321042400 is about 17917.6560967109. The cubic root of 321042400 is about 684.7322732319.

Adding to 321042400 its reverse (4240123), we get a palindrome (325282523).

The spelling of 321042400 in words is "three hundred twenty-one million, forty-two thousand, four hundred".